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Finding the Third Proportional to 782,061 and 1,713,609

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Solution

The third proportional to 782,061 and 1,713,609 is: 3,754,765.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,061 : 1,713,609 = 1,713,609 : x
  2. Step 2: Convert to fraction form
    782,061/1,713,609 = 1,713,609/x
  3. Step 3: Cross multiply
    782,061x = 1,713,609 × 1,713,609
  4. Step 4: Simplify right side
    782,061x = 2,936,455,804,881
  5. Step 5: Solve for x
    x = 2,936,455,804,881/782,061
  6. Step 6: Final answer
    x = 3,754,765.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.